A wanted suspect blew himself on Saturday during an army raid against his residence in the northern region of Deir Ammar, announced the military in a statement.
It said that Mohammed Mustafa Hamza first tossed two hand grenades at the troops, one of which exploded, wounding seven soldiers.
He then detonated an explosives belt, killing himself and two of his relatives.
The National News Agency said his mother, Hasna Hamza, and niece, Israa Mohammed al-Sayyed, were killed in the blast.
A number of other civilians at the scene were wounded, said the army communique.
NNA said the suspect's sister Safa Hamza was among the wounded.
Voice of Lebanon radio (93.3) identified some of the injured soldiers as Hassan Safa, Fadi Kanj, Khodr Deeb, Wassim Khalifeh, and Hassan Tleijeh.